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Name Number and Operations – Fractions Preparation for 5.NF.2 Lesson 2 Greatest Common Factor eHelp Homework Helper Need help? The table shows the amount of money Ms. Ayala made over three days selling 4-inch × 6-inch prints at an arts festival. Each print costs the same amount. What is the most each print could have cost? connectED.mcgraw-hill.com Ms. Ayala’s Artwork Day Cost ($) Friday Saturday Sunday 60 144 96 Write the prime factorization to find common factors. 144 96 60 6 × 12 × × 6 × 2 × 12 8 × 12 10 2 6 2 × 4 × 2 × 6 2 × 3 × 2 × 5 prime factorization 2 × 2 × 3 × 2 × 2 × 3 2 × 2 × 2 × 2 × 2 × 3 prime factorization prime factorization The common prime factors are 2, 2, and 3. Multiply to find the GCF. 2 × 2 × 3 = 12 Copyright © The McGraw-Hill Companies, Inc. So, the greatest cost of each print would be $12. Practice Find the GCF of each set of numbers. 1. 21, 30 2. 12, 30, 72 Lesson 2 My Homework561 der a e l e h I’m t pack! of the Problem Solving 3. A store sells boxes of juice in equal-size packs. Garth bought 18 boxes, Rico bought 36 boxes, and Mai bought 45 boxes. What is the greatest number of boxes in each pack? How many packs did each person buy if each box contained the greatest number of boxes possible? 3 4. Justify Conclusions The GCF of any two even numbers is always even. Determine whether the statement is true or false. If true, explain why. If false, give a reason. Vocab 5. Circle the correct term that makes the sentence true. The ( greatest , least) of the common factors of two or more numbers is the ( greatest , least) common factor of the numbers. Test Practice 6. Jeremiah will share his collection with his friends so that they each receive the same number of cards. What is the greatest number of cards they will each receive? A 4 cards C 12 cards B 8 cards D 16 cards 562Need more practice? Download Extra Practice at Sports Cards Type Number Baseball 32 Football 24 connectED.mcgraw-hill.com Copyright © The McGraw-Hill Companies, Inc. Ken Cavanagh/The McGraw-Hill Companies Vocabulary Check